Recent questions tagged machine-learning

Suppose our true labels are $\vec{y}=[0,0,1]$, our predicted probabilities of being in class 1 are $[0.1,0.6,0.9]$, and our threshold is $T=0.5$. Give the total (not aver...

Which of the following statements about logistic regression are correct? The cost function of logistic regression is convex.The cost function of logistic regression is co...

What is the value of the sigmoid function $\sigma(z)=\frac{1}{1+e^{-z}}$ when $z=2 ?$0.1190.2680.50.881

Suppose we trained a logistic regression classifier for some binary classification task. The true labels $y$ and predicted probabilities $P(Y = 1|x)$ are given below.$$y$...

Consider the dataset shown in the diagram below with a logistic regression decision boundary.Questions :1. Count the number of mistakes the model is making.2 . Is the dat...

If $\theta = \begin{bmatrix}1 \\ 4 \\ 3\end{bmatrix}$ and $x = \begin{bmatrix}7 \\ -1 \\ -1\end{bmatrix}$, what is the value of $P(y = 1)$?00.250.51

Ridge regression can shrink all coefficients to exactly O if the regularization parameter $\lambda$ is large enough.Please enter 1 for True and 0 for False.

is $X^TX + \lambda I$ invertible for $ \lambda 0$?AlwaysIf $\lambda$ is larger than the smallest eigenvalue of $X^T X$If $X$ is full rankNever

Given normal equation : $X^T X w = X^Ty$If $X^T X$ is not invertible, do the normal equations still define the solution?Please enter 1 for True and 0 for False.

suppose Alice and Bob do the same experiment • Alice measures distance in mm • Bob measures distance in kmthey each compute an estimator with ridge regression and c...

suppose Alice and Bob do the same experiment • Alice measures distance in mm • Bob measures distance in kmthey each compute an estimator with least squares and comp...